Question

Somebody help with this please

Answer 1

Covert standard form to slope-intercept form
4x + 7y + 3 = 0
7y = -4x - 3

y = (-4/7)x - 3/7   so the slope of this line is -4/7

The slope perpendicular to this is - 1 (-4/7)  = 7/4
The required line has equation:-
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)x + 14/4
y =   (7/4)x + 18/4  That is the answer in slope intercept form

Multiply through by 4

4y = 7x + 18

7x - 4y = 18   in Standard form Answer